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Finding the Fourth Proportional to 4,101.47, 5,647.05 and 3,727.34

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Solution

The fourth proportional to 4,101.47, 5,647.05 and 3,727.34 is: 5,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.47 : 5,647.05 = 3,727.34 : x
  2. Step 2: Convert to fraction form
    4,101.47/5,647.05 = 3,727.34/x
  3. Step 3: Cross multiply
    4,101.47x = 5,647.05 × 3,727.34
  4. Step 4: Simplify right side
    4,101.47x = 21,048,475.35
  5. Step 5: Solve for x
    x = 21,048,475.35/4,101.47
  6. Step 6: Final answer
    x = 5,131.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.